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Finding the Third Proportional to 114,036.75 and 176,590.13

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Solution

The third proportional to 114,036.75 and 176,590.13 is: 273,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,036.75 : 176,590.13 = 176,590.13 : x
  2. Step 2: Convert to fraction form
    114,036.75/176,590.13 = 176,590.13/x
  3. Step 3: Cross multiply
    114,036.75x = 176,590.13 × 176,590.13
  4. Step 4: Simplify right side
    114,036.75x = 31,184,072,247.52
  5. Step 5: Solve for x
    x = 31,184,072,247.52/114,036.75
  6. Step 6: Final answer
    x = 273,456.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.